2712946645506 has 32 divisors (see below), whose sum is σ = 5518075337280. Its totient is φ = 888953084096.

The previous prime is 2712946645501. The next prime is 2712946645523. The reversal of 2712946645506 is 6055466492172.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2712946645501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9745360 + ... + 10019876.

It is an arithmetic number, because the mean of its divisors is an integer number (172439854290).

Almost surely, 2^{2712946645506} is an apocalyptic number.

It is a pronic number, being equal to 1647102×1647103.

2712946645506 is an abundant number, since it is smaller than the sum of its proper divisors (2805128691774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2712946645506 is a wasteful number, since it uses less digits than its factorization.

2712946645506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302498.

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 2712946645506 in words is "two trillion, seven hundred twelve billion, nine hundred forty-six million, six hundred forty-five thousand, five hundred six".